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Elina [12.6K]
3 years ago
14

HELP PLSS Solve the equation 17−(3x+5)=3x−6

Mathematics
2 answers:
riadik2000 [5.3K]3 years ago
8 0

Answer:

x = 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

17 - (3x + 5) = 3x - 6

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute negative:                   17 - 3x - 5 = 3x - 6
  2. Add 3x on both sides:               17 - 5 = 6x - 6
  3. Combine like terms:                  12 = 6x - 6
  4. Isolate <em>x</em> term:                            18 = 6x
  5. Isolate <em>x</em>:                                     3 = x
  6. Rewrite:                                      x = 3

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    17 - (3(3) + 5) = 3(3) - 6
  2. Multiply:                               17 - (9 + 5) = 9 - 6
  3. Add:                                     17 - 14 = 9 - 6
  4. Subtract:                              3 = 3

Here we see that 3 does indeed equal 3.

∴ x = 3 is the solution to the equation.

Dennis_Churaev [7]3 years ago
8 0

Answer:

x = 3

Step-by-step explanation:

17 - 1(3x + 5) = 3x - 6

17 − 3 − 5 = 3x − 6

12 - 3x = 3x - 6 subtract five

-3x + 12 = 3x - 6 rearrange terms

-3x = 3x - 18 subtract twelve

-6x = 18 subtract negative three

divide by negative six

x = 3

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